statistics
Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is bonds perform well when lending rates are down and perform poorly when interest rates are up. Can the bond rate be predicted by the prime ...July 8, 2013

statistics
Suppose a researcher gathered survey data from 19 employees and asked the employees to rate their job satisfaction on a scale from 0 to 100 (with 100 being perfectly satisfied). Suppose the following data represent the results of this survey. Assume that relationship with ...July 8, 2013

statistics
Shown below are rental and leasing revenue figures for office machinery and equipment in the United States over a sever-year period according to the U.S. Census Bureau. Use these data to run a linear regression and then forecast the rental and leasing revenue for the year 2012...July 8, 2013

trig
Choose the expression that is equivalent to the given expression. sin 6x tan 3x I got 2 sin^2 3xJune 21, 2013

trig
Write the expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 2tan 2pi/3 / 1-tan^2 2pu/3June 21, 2013

trig
Solve the right triangle with the given sides and angles. a = 3.0, B = 31.0°June 21, 2013

math
2. The sales tax rate applied to all purchases within a state was 0.04 (4 percent) throughout 2006 but increased to 0.05 (5 percent) during all of 2007. The state government collected all taxes due, but its tax revenues were equal to $40 million each year. What happened to ...June 20, 2013

math
Market price with no tax is where supply equals demand, so at $7. b) The two dollar tax is reflected in the price that people have topay, but it does not give a firm extra income. For instance, pricewas $7 in part a. Now with the tax, people pay $9, but the firmonly earns $7. ...June 20, 2013

Physics
Calculate the change in potential energy of a 86.9 kg man when he takes an elevator from the first floor to 15th floor, if the distance between floors is 4.47 m. *This building has a thirteenth floor! Keep in mind that he stands on the floor of the top floor, not its ceiling!June 18, 2013

Calculus
An arithmetic progression has terms a8 =23 and a20 =83 . What is the value of the term a12June 18, 2013

trig
The point (-3, 4) is on the terminal side of angle θ in standard position. Find cot θ.June 11, 2013

trig
Given that θ is an angle in standard position whose terminal side contains the given point, provide the exact value of the indicated function. (-2, -3) Find sec θ.June 11, 2013

Polynomials
The polynomial P(x)=ax^3+bx^2+cx+d leaves a remainder of 10x+11 when it is divided by x^2−1. It leaves a remainder of −6 when it is divided by x^2+x+1. What is the value of bc−adMay 24, 2013

Complex numbers
If f(x) is a polynomial with real coefficients such that f(4+3i)=31+16i, then f(4−3i)=a+bi. What is the value of a+bMay 24, 2013

Trigonometry
Let O be the origin and P be a point in the fourth quadrant on the x-y plane. Let 270<z<360 be the angle formed by OP with the positive x-axis. Similarly Q is a point in the fourth quadrant on the x-y plane where |OQ|=|OP| and the angle formed by OQ and the x-axis is 7z...April 19, 2013

Algebra
Let S be the sum of all values of r such that the coefficient of the x^2 term in the expansion of (x−3)(rx+2)^3 is −6 . If S=a/b, where a and b are coprime positive integers, what is the value of a+bApril 19, 2013

P&P
Peter is walking from the library to school at a rate of 40 meters per minute. At the same time, Paul is walking from school to the library. After they meet each other, Peter still needs 6 minutes to get to school, while Paul is 200 meters away from the library. What is the ...April 19, 2013

Ratios
If the ratio of x+y to x−y is 279/262 , then the ratio of y to x can be written as a/b where a and b are coprime positive integers. Find a+bApril 19, 2013

Numbers
What is the smallest possible natural number x>5 , that leaves a remainder of 5 whenever it is divided by 14 , 8 or 77April 19, 2013

Maths
There are two complex roots to the quadratic equation z^2 +(1−16i)z+(−80+10i)=0 . What is the value of the larger of the two norms of the two roots?April 19, 2013

Math
Find the sum of all primes q<1000 such that for some prime p<q , both q divides p^3 -1 and p divides q^3 -1April 19, 2013